Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach
The existence of solutions of the non-sliding shallow-ice-sheet equation on a flat horizontal bed with a mass balance linearly depending on altitude is proven for fixed margins. Free-margin solutions for the same mass balance do not exist. Fixed-margin solutions show unbounded shear stress and nonze...
| Published in: | Journal of Glaciology |
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| Main Authors: | , , , |
| Format: | Text |
| Language: | unknown |
| Published: |
International Glaciological Society
2011
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| Subjects: | |
| Online Access: | http://infoscience.epfl.ch/record/169644 https://doi.org/10.3189/002214311796405852 |
| Summary: | The existence of solutions of the non-sliding shallow-ice-sheet equation on a flat horizontal bed with a mass balance linearly depending on altitude is proven for fixed margins. Free-margin solutions for the same mass balance do not exist. Fixed-margin solutions show unbounded shear stress and nonzero mass flux at the margin. Steady-state solutions with realistic margins, vanishing ice flux and vanishing shear stress are found numerically for ice sheets with Weertman-type sliding. |
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